%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP329-1 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:30 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 52
% Syntax : Number of formulae : 434 ( 25 unt; 17 def)
% Number of atoms : 1832 ( 483 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 2770 (1372 ~;1381 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 135 ( 0 sgn 135 !; 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
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = inverse(sk_c5) ),
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_c8,sk_c9) = sk_c7
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,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_c4,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = 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_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f39]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f59,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c4,sk_c8) = 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_c4,sk_c8) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f65]) ).
fof(f73,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f80,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f82,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f83]) ).
fof(f87,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f88,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,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
| inverse(sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X4,sk_c8) != sk_c9
| inverse(X4) != sk_c8
| multiply(X5,sk_c9) != sk_c7
| inverse(X5) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c8,sk_c9) != sk_c7
| sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c8 != multiply(sk_c9,X1)
| multiply(X2,sk_c9) != X1
| sk_c9 != inverse(X2)
| sk_c7 != inverse(sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ),
inference(reorient_equations,[],[f89]) ).
fof(f92,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f93,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f96,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,definition,
( spl0_3
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f99,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,definition,
( spl0_4
<=> sk_c7 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f102,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( sk_c7 != inverse(sk_c8)
| spl0_4 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f105,definition,
( spl0_5
<=> ! [X2,X1] :
( sk_c8 != multiply(sk_c9,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f106,plain,
( ! [X2,X1] :
( sk_c8 != multiply(sk_c9,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,definition,
( spl0_6
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f109,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f110,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| spl0_6 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f90,f108,f95,f105,f101,f98,f95,f92]) ).
fof(f113,definition,
( spl0_7
<=> sk_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f115,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f117,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f119,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f88,f117,f113]) ).
fof(f122,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f123,plain,
( sk_c7 != multiply(sk_c6,sk_c9)
| spl0_9 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f127,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f128,plain,
( sk_c8 != inverse(sk_c5)
| spl0_10 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f129,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f84,f117,f127]) ).
fof(f132,definition,
( spl0_11
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f134,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f82,f117,f132]) ).
fof(f137,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f139,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f140,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f80,f117,f137]) ).
fof(f142,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f144,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f78,f117,f142]) ).
fof(f146,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f76,f117,f101]) ).
fof(f148,definition,
( spl0_14
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f150,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f74,f148,f113]) ).
fof(f155,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f66,f148,f137]) ).
fof(f156,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f64,f148,f142]) ).
fof(f157,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f62,f148,f101]) ).
fof(f159,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f161,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f60,f159,f113]) ).
fof(f166,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f52,f159,f137]) ).
fof(f167,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f50,f159,f142]) ).
fof(f168,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f48,f159,f101]) ).
fof(f170,definition,
( spl0_16
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f172,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f46,f170,f113]) ).
fof(f176,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f40,f170,f132]) ).
fof(f177,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f38,f170,f137]) ).
fof(f178,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f36,f170,f142]) ).
fof(f179,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f34,f170,f101]) ).
fof(f181,definition,
( spl0_17
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f183,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f184,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f32,f181,f113]) ).
fof(f187,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f26,f181,f132]) ).
fof(f188,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f24,f181,f137]) ).
fof(f189,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f22,f181,f142]) ).
fof(f190,plain,
( spl0_4
| spl0_17 ),
inference(avatar_split_clause,[],[f20,f181,f101]) ).
fof(f191,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f108,f113]) ).
fof(f192,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f108,f122]) ).
fof(f193,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f108,f127]) ).
fof(f194,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f108,f132]) ).
fof(f195,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f108,f137]) ).
fof(f196,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f108,f142]) ).
fof(f197,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f108,f101]) ).
fof(f198,plain,
( multiply(sk_c8,sk_c9) != inverse(sk_c8)
| ~ spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f110,f102]) ).
fof(f199,plain,
( inverse(sk_c8) = multiply(sk_c6,sk_c9)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f124,f102]) ).
fof(f200,plain,
( inverse(sk_c8) = multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f144,f102]) ).
fof(f202,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f3,f115]) ).
fof(f203,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f3,f129]) ).
fof(f204,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_12 ),
inference(superposition,[],[f3,f139]) ).
fof(f205,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f206,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f205,f4]) ).
fof(f210,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f202]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(inverse(sk_c8),X0)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f4,f200]) ).
fof(f214,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f210,f1]) ).
fof(f218,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f203]) ).
fof(f219,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f218,f1]) ).
fof(f222,plain,
( sk_c9 = multiply(sk_c9,inverse(sk_c8))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f214,f199]) ).
fof(f238,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f219,f134]) ).
fof(f263,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f206,f3]) ).
fof(f264,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f206,f206]) ).
fof(f266,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f206,f238]) ).
fof(f267,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_12 ),
inference(superposition,[],[f206,f204]) ).
fof(f270,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c9),X0)
| ~ spl0_7 ),
inference(superposition,[],[f206,f214]) ).
fof(f271,plain,
( inverse(sk_c8) = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f206,f222]) ).
fof(f273,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c4),multiply(inverse(sk_c8),X0))
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f206,f211]) ).
fof(f284,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(inverse(sk_c8),X0))
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f273,f139]) ).
fof(f286,plain,
( identity = inverse(sk_c8)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f271,f3]) ).
fof(f287,plain,
( identity = sk_c9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f266,f3]) ).
fof(f289,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f263,f264]) ).
fof(f292,plain,
( inverse(sk_c8) = multiply(sk_c6,identity)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f199,f287]) ).
fof(f293,plain,
( identity = multiply(identity,sk_c6)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f202,f287]) ).
fof(f301,plain,
( identity = sk_c6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f302,plain,
( inverse(sk_c8) = multiply(inverse(sk_c9),identity)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f292,f270]) ).
fof(f306,plain,
( inverse(sk_c8) = inverse(sk_c9)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f302,f289]) ).
fof(f309,plain,
( inverse(sk_c8) = inverse(identity)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f306,f287]) ).
fof(f312,plain,
( identity = inverse(identity)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f309,f286]) ).
fof(f363,plain,
( sk_c9 = inverse(identity)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f115,f301]) ).
fof(f373,plain,
( identity = multiply(sk_c8,multiply(inverse(sk_c8),identity))
| ~ spl0_12 ),
inference(superposition,[],[f204,f267]) ).
fof(f374,plain,
( inverse(sk_c8) = multiply(multiply(inverse(sk_c8),identity),sk_c8)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f200,f267]) ).
fof(f377,plain,
( inverse(sk_c8) = multiply(inverse(sk_c8),multiply(identity,sk_c8))
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f374,f4]) ).
fof(f378,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f373,f284]) ).
fof(f381,plain,
( inverse(sk_c8) = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f377,f1]) ).
fof(f382,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f378,f289]) ).
fof(f385,plain,
( identity = inverse(sk_c8)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f381,f3]) ).
fof(f388,plain,
( sk_c9 = multiply(sk_c5,identity)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f134,f382]) ).
fof(f389,plain,
( inverse(identity) != multiply(identity,sk_c9)
| ~ spl0_4
| spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f198,f382]) ).
fof(f392,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f204,f382]) ).
fof(f403,plain,
( identity = sk_c4
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f392,f1]) ).
fof(f406,plain,
( sk_c9 != inverse(identity)
| ~ spl0_4
| spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f389,f1]) ).
fof(f407,plain,
( sk_c9 = sk_c5
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f388,f289]) ).
fof(f412,plain,
( identity != sk_c9
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f406,f312]) ).
fof(f417,plain,
( $false
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f412,f287]) ).
fof(f418,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f428,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f99,f382]) ).
fof(f429,plain,
( multiply(sk_c8,sk_c9) = inverse(sk_c8)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f109,f102]) ).
fof(f430,plain,
( ! [X3] :
( sk_c7 != X3
| sk_c8 != inverse(X3) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f428,f289]) ).
fof(f432,plain,
( ! [X3] :
( inverse(sk_c8) != X3
| sk_c8 != inverse(X3) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f430,f102]) ).
fof(f434,plain,
( ! [X3] :
( identity != X3
| sk_c8 != inverse(X3) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f432,f286]) ).
fof(f436,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != X3 )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f434,f382]) ).
fof(f440,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f436,f139]) ).
fof(f441,plain,
( identity != sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f440,f382]) ).
fof(f444,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f441,f403]) ).
fof(f445,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f451,plain,
( sk_c7 != multiply(inverse(sk_c9),sk_c9)
| ~ spl0_7
| spl0_9 ),
inference(forward_demodulation,[],[f123,f270]) ).
fof(f456,plain,
( identity = inverse(identity)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f363,f287]) ).
fof(f458,plain,
( identity = inverse(identity)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f385,f382]) ).
fof(f465,plain,
( inverse(identity) = multiply(identity,sk_c9)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f429,f382]) ).
fof(f467,plain,
( identity != sk_c7
| ~ spl0_7
| spl0_9 ),
inference(forward_demodulation,[],[f451,f3]) ).
fof(f475,plain,
( sk_c9 = inverse(identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f465,f1]) ).
fof(f477,plain,
( identity != inverse(sk_c8)
| ~ spl0_4
| ~ spl0_7
| spl0_9 ),
inference(forward_demodulation,[],[f467,f102]) ).
fof(f482,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f477,f382]) ).
fof(f483,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f482,f456]) ).
fof(f484,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f485,plain,
( identity != inverse(sk_c5)
| ~ spl0_4
| spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f128,f382]) ).
fof(f491,plain,
( identity = sk_c9
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f475,f458]) ).
fof(f492,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f482,f458]) ).
fof(f493,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f494,plain,
( identity != inverse(sk_c9)
| ~ spl0_4
| spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f485,f407]) ).
fof(f498,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f494,f491]) ).
fof(f500,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f498,f458]) ).
fof(f501,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f506,plain,
( ! [X3] :
( inverse(sk_c8) != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f99,f102]) ).
fof(f518,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f172]) ).
fof(f519,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_14 ),
inference(superposition,[],[f206,f150]) ).
fof(f521,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f519,f119]) ).
fof(f522,plain,
( sk_c8 = sk_c9
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f521,f161]) ).
fof(f539,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c9)
| ~ spl0_17 ),
inference(superposition,[],[f206,f183]) ).
fof(f540,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f183]) ).
fof(f541,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f540,f522]) ).
fof(f542,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f539,f522]) ).
fof(f543,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f542,f172]) ).
fof(f546,plain,
( inverse(sk_c8) = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f429,f522]) ).
fof(f553,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f546,f543]) ).
fof(f569,plain,
( sk_c9 != inverse(sk_c8)
| sk_c8 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f506,f183]) ).
fof(f570,plain,
( sk_c9 != inverse(sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f569,f172]) ).
fof(f574,plain,
( sk_c8 != sk_c9
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f570,f553]) ).
fof(f577,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f574,f522]) ).
fof(f578,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f579,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f109,f522]) ).
fof(f580,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f579,f543]) ).
fof(f581,plain,
( sk_c8 != inverse(sk_c8)
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f103,f580]) ).
fof(f601,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_16 ),
inference(superposition,[],[f206,f518]) ).
fof(f604,plain,
( inverse(sk_c8) = sk_c1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f601,f289]) ).
fof(f665,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f183,f604]) ).
fof(f667,plain,
( identity = sk_c9
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f665,f3]) ).
fof(f668,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c8),multiply(sk_c8,X0))
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f541,f604]) ).
fof(f671,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f541,f518]) ).
fof(f676,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f671,f289]) ).
fof(f678,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f668,f206]) ).
fof(f684,plain,
( sk_c8 = inverse(identity)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f172,f676]) ).
fof(f688,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f541,f543]) ).
fof(f690,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f206,f543]) ).
fof(f692,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f690,f3]) ).
fof(f694,plain,
( inverse(identity) = multiply(sk_c1,inverse(identity))
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f688,f684]) ).
fof(f696,plain,
( inverse(identity) = multiply(inverse(sk_c8),inverse(identity))
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f694,f604]) ).
fof(f698,plain,
( inverse(identity) = multiply(inverse(inverse(identity)),inverse(identity))
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f696,f684]) ).
fof(f700,plain,
( identity = inverse(identity)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f698,f3]) ).
fof(f704,plain,
( identity = multiply(identity,sk_c6)
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f202,f667]) ).
fof(f712,plain,
( identity = sk_c6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f704,f1]) ).
fof(f746,plain,
( identity != inverse(identity)
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f581,f692]) ).
fof(f747,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f746,f700]) ).
fof(f748,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f772,plain,
( ! [X2,X1] :
( sk_c8 != multiply(sk_c8,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f106,f522]) ).
fof(f773,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f124,f270]) ).
fof(f783,plain,
( ! [X2,X1] :
( sk_c8 != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f772,f678]) ).
fof(f784,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f773,f3]) ).
fof(f788,plain,
( ! [X2,X1] :
( inverse(identity) != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f783,f684]) ).
fof(f791,plain,
( ! [X2,X1] :
( identity != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f788,f700]) ).
fof(f792,plain,
( ! [X2,X1] :
( sk_c8 != inverse(X2)
| identity != X1
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f791,f522]) ).
fof(f793,plain,
( ! [X2,X1] :
( inverse(X2) != inverse(identity)
| identity != X1
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f792,f684]) ).
fof(f794,plain,
( ! [X2,X1] :
( identity != inverse(X2)
| identity != X1
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f793,f700]) ).
fof(f795,plain,
( ! [X2,X1] :
( multiply(X2,sk_c8) != X1
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f794,f522]) ).
fof(f796,plain,
( ! [X2,X1] :
( multiply(X2,inverse(identity)) != X1
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f795,f684]) ).
fof(f797,plain,
( ! [X2,X1] :
( multiply(X2,identity) != X1
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f796,f700]) ).
fof(f798,plain,
( ! [X2,X1] :
( X1 != X2
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f797,f289]) ).
fof(f817,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(equality_resolution,[],[f798]) ).
fof(f836,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f817,f172]) ).
fof(f839,plain,
( identity != sk_c1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f836,f692]) ).
fof(f844,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f839,f676]) ).
fof(f845,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f850,plain,
( ! [X4] :
( sk_c9 != multiply(X4,inverse(identity))
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f96,f684]) ).
fof(f851,plain,
( ! [X4] :
( sk_c9 != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f850,f700]) ).
fof(f852,plain,
( ! [X4] :
( sk_c9 != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f851,f289]) ).
fof(f853,plain,
( ! [X4] :
( sk_c8 != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f852,f522]) ).
fof(f854,plain,
( ! [X4] :
( inverse(identity) != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f853,f684]) ).
fof(f855,plain,
( ! [X4] :
( identity != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f854,f700]) ).
fof(f856,plain,
( ! [X4] :
( inverse(X4) != inverse(identity)
| identity != X4 )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f855,f684]) ).
fof(f857,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != X4 )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f856,f700]) ).
fof(f869,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f857,f172]) ).
fof(f872,plain,
( identity != sk_c1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f869,f692]) ).
fof(f877,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f872,f676]) ).
fof(f878,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f883,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f93,f522]) ).
fof(f884,plain,
( ! [X5] :
( sk_c7 != multiply(X5,inverse(identity))
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f883,f684]) ).
fof(f885,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f884,f700]) ).
fof(f886,plain,
( ! [X5] :
( sk_c7 != X5
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f885,f289]) ).
fof(f887,plain,
( ! [X5] :
( sk_c8 != X5
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f886,f580]) ).
fof(f888,plain,
( ! [X5] :
( inverse(identity) != X5
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f887,f684]) ).
fof(f889,plain,
( ! [X5] :
( identity != X5
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f888,f700]) ).
fof(f890,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| identity != X5 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f889,f522]) ).
fof(f891,plain,
( ! [X5] :
( inverse(X5) != inverse(identity)
| identity != X5 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f890,f684]) ).
fof(f892,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != X5 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f891,f700]) ).
fof(f927,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f892,f172]) ).
fof(f930,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f927,f692]) ).
fof(f935,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f930,f676]) ).
fof(f936,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f980,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f93,f667]) ).
fof(f1003,plain,
( ! [X5] :
( sk_c7 != X5
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f980,f289]) ).
fof(f1018,plain,
( ! [X5] :
( identity != X5
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1003,f784]) ).
fof(f1027,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != X5 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1018,f667]) ).
fof(f1065,plain,
( identity != sk_c9
| identity != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1027,f115]) ).
fof(f1068,plain,
( identity != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1065,f667]) ).
fof(f1072,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1068,f712]) ).
fof(f1073,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1076,plain,
( ! [X4] :
( sk_c9 != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f96,f382]) ).
fof(f1077,plain,
( ! [X4] :
( sk_c9 != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1076,f289]) ).
fof(f1078,plain,
( ! [X4] :
( identity != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1077,f667]) ).
fof(f1079,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != X4 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1078,f382]) ).
fof(f1091,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1079,f139]) ).
fof(f1096,plain,
( identity != sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1091,f382]) ).
fof(f1101,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1096,f403]) ).
fof(f1102,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1103,plain,
( ! [X2,X1] :
( sk_c8 != multiply(identity,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f106,f667]) ).
fof(f1104,plain,
( ! [X2,X1] :
( sk_c8 != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1103,f1]) ).
fof(f1105,plain,
( ! [X2,X1] :
( identity != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1104,f382]) ).
fof(f1106,plain,
( ! [X2,X1] :
( identity != inverse(X2)
| identity != X1
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1105,f667]) ).
fof(f1107,plain,
( ! [X2,X1] :
( multiply(X2,identity) != X1
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1106,f667]) ).
fof(f1108,plain,
( ! [X2,X1] :
( X1 != X2
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1107,f289]) ).
fof(f1115,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(equality_resolution,[],[f1108]) ).
fof(f1141,plain,
( identity != sk_c9
| identity != sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1115,f115]) ).
fof(f1144,plain,
( identity != sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1141,f667]) ).
fof(f1148,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1144,f712]) ).
fof(f1149,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1153,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c9 != X4 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1077,f382]) ).
fof(f1176,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != X4 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1153,f287]) ).
fof(f1200,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f93,f287]) ).
fof(f1202,plain,
( ! [X5] :
( sk_c7 != X5
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1200,f289]) ).
fof(f1204,plain,
( ! [X5] :
( identity != X5
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1202,f784]) ).
fof(f1206,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != X5 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1204,f287]) ).
fof(f1225,plain,
( identity != sk_c9
| identity != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1206,f115]) ).
fof(f1226,plain,
( identity != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1225,f287]) ).
fof(f1228,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1226,f301]) ).
fof(f1229,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1253,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1176,f139]) ).
fof(f1256,plain,
( identity != sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1253,f382]) ).
fof(f1259,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1256,f403]) ).
fof(f1260,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1261,plain,
( ! [X2,X1] :
( sk_c8 != multiply(identity,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f106,f287]) ).
fof(f1262,plain,
( ! [X2,X1] :
( sk_c8 != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1261,f1]) ).
fof(f1263,plain,
( ! [X2,X1] :
( identity != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1262,f382]) ).
fof(f1264,plain,
( ! [X2,X1] :
( identity != inverse(X2)
| identity != X1
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1263,f287]) ).
fof(f1265,plain,
( ! [X2,X1] :
( multiply(X2,identity) != X1
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1264,f287]) ).
fof(f1266,plain,
( ! [X2,X1] :
( X1 != X2
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1265,f289]) ).
fof(f1275,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(equality_resolution,[],[f1266]) ).
fof(f1287,plain,
( identity != sk_c9
| identity != sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1275,f115]) ).
fof(f1291,plain,
( identity != sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1287,f287]) ).
fof(f1293,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1291,f301]) ).
fof(f1294,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1293]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f111]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f120]) ).
cnf(s5,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f130]) ).
cnf(s6,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f135]) ).
cnf(s7,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f140]) ).
cnf(s8,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f145]) ).
cnf(s9,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f146]) ).
cnf(s10,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s14,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f155]) ).
cnf(s15,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f156]) ).
cnf(s16,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f157]) ).
cnf(s17,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f162]) ).
cnf(s21,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f166]) ).
cnf(s22,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f167]) ).
cnf(s23,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f168]) ).
cnf(s24,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f173]) ).
cnf(s27,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f176]) ).
cnf(s28,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f177]) ).
cnf(s29,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f178]) ).
cnf(s30,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f179]) ).
cnf(s31,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f184]) ).
cnf(s34,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f187]) ).
cnf(s35,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f188]) ).
cnf(s36,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f189]) ).
cnf(s37,plain,
( spl0_4
| spl0_17 ),
inference(sat_conversion,[],[f190]) ).
cnf(s38,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f191]) ).
cnf(s39,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f192]) ).
cnf(s40,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f193]) ).
cnf(s41,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f194]) ).
cnf(s42,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f195]) ).
cnf(s43,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f196]) ).
cnf(s44,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f197]) ).
cnf(s45,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f418]) ).
cnf(s46,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f445]) ).
cnf(s49,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f484]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f493]) ).
cnf(s51,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f501]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f578]) ).
cnf(s55,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f748]) ).
cnf(s57,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f845]) ).
cnf(s61,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f878]) ).
cnf(s65,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f936]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s73,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s76,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s79,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1229]) ).
cnf(s82,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1260]) ).
cnf(s84,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1294]) ).
cnf(s86,plain,
spl0_4,
inference(rat,[],[s55,s9,s16,s23,s30,s37,s44]) ).
cnf(s87,plain,
spl0_6,
inference(rat,[],[s45,s38,s39,s40,s41,s42,s43,s86]) ).
cnf(s88,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s57,s15,s22,s29,s36]) ).
cnf(s89,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s57,s14,s21,s28,s35]) ).
cnf(s90,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s76,s27,s34,s88,s89,s86]) ).
cnf(s91,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s84,s51,s90,s89,s88,s86,s87]) ).
cnf(s92,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s84,s5,s6,s7,s8,s91,s86]) ).
cnf(s93,plain,
~ spl0_5,
inference(rat,[],[s57,s3,s10,s17,s24,s31,s92]) ).
cnf(s94,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s52,s15,s22,s29,s36,s86,s87]) ).
cnf(s95,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s49,s46,s86]) ).
cnf(s96,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s52,s10,s17,s24,s31,s86,s87]) ).
cnf(s97,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s52,s14,s21,s28,s35,s86,s87]) ).
cnf(s98,plain,
( ~ spl0_12
| ~ spl0_7
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s50,s46,s86]) ).
cnf(s99,plain,
( ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s98,s97,s96,s94]) ).
cnf(s100,plain,
~ spl0_3,
inference(rat,[],[s95,s3,s5,s6,s7,s8,s99]) ).
cnf(s101,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s61,s8,s15,s22,s29,s36]) ).
cnf(s102,plain,
( spl0_11
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s73,s27,s34,s101,s86]) ).
cnf(s103,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s51,s82,s87,s86]) ).
cnf(s104,plain,
( ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s103,s102,s101]) ).
cnf(s105,plain,
~ spl0_2,
inference(rat,[],[s7,s61,s14,s21,s28,s35,s104]) ).
cnf(s106,plain,
spl0_1,
inference(rat,[],[s2,s87,s86,s93,s100,s105]) ).
cnf(s107,plain,
spl0_13,
inference(rat,[],[s65,s8,s15,s22,s29,s36,s87,s106]) ).
cnf(s108,plain,
( ~ spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(rat,[],[s50,s79,s51,s86,s107,s106,s87]) ).
cnf(s109,plain,
spl0_7,
inference(rat,[],[s3,s65,s10,s17,s24,s31,s87,s106]) ).
cnf(s110,plain,
~ spl0_12,
inference(rat,[],[s69,s27,s34,s108,s50,s106,s109,s86,s107]) ).
cnf(s111,plain,
spl0_17,
inference(rat,[],[s35,s110]) ).
cnf(s112,plain,
spl0_16,
inference(rat,[],[s28,s110]) ).
cnf(s113,plain,
spl0_15,
inference(rat,[],[s21,s110]) ).
cnf(s114,plain,
spl0_14,
inference(rat,[],[s14,s110]) ).
cnf(s115,plain,
spl0_8,
inference(rat,[],[s7,s110]) ).
cnf(s116,plain,
$false,
inference(rat,[],[s65,s111,s113,s106,s87,s114,s112,s115]) ).
fof(f1297,plain,
$false,
inference(avatar_sat_refutation,[],[s116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP329-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 09:54:07 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.18/0.50 % (3260561)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (3260568)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2530198890:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (3260567)% WARNING: option uhcvi not known.
% 0.18/0.50 % (3260570)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3892545695:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (3260566)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4084951496_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % (3260567)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2908050021:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % (3260571)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2217918288:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (3260569)dis+10_1_sil=32000:sp=arity:random_seed=1954331275:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % (3260572)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1870448454:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % TRYING [1]
% 0.18/0.50 % TRYING [2]
% 0.18/0.50 % TRYING [3]
% 0.18/0.50 % TRYING [4]
% 0.18/0.50 % (3260571) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3260561-3260571"...
% 0.18/0.50 % TRYING [5]
% 0.18/0.50 % (3260569) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3260561-3260569"...
% 0.18/0.50 % (3260570) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3260561-3260570"...
% 0.18/0.50 % (3260571)...printing done.
% 0.18/0.50 % (3260571)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (3260571)------------------------------
% 0.18/0.51 % (3260571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.51 % (3260571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.51 % (3260571)CaDiCaL version: 2.1.3
% 0.18/0.51 % (3260571)Termination reason: Refutation
% 0.18/0.51 % (3260571)Time elapsed: 0.022 s
% 0.18/0.51 % (3260571)Peak memory usage: 12 MB
% 0.18/0.51 % (3260571)Instructions burned: 37 (million)
% 0.18/0.51 % (3260561)Success in time 0.065 s
% 0.18/0.51 % Vampire exiting
%------------------------------------------------------------------------------