%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP225-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:22 AM UTC 2026
% Result : Unsatisfiable 2.98s 1.35s
% Output : Refutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 48
% Syntax : Number of formulae : 263 ( 20 unt; 18 def)
% Number of atoms : 722 ( 261 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 843 ( 384 ~; 441 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c1) = sk_c9
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( inverse(sk_c1) = sk_c9
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( inverse(sk_c1) = sk_c9
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( inverse(sk_c1) = sk_c9
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,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_10) ).
fof(f24,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f31]) ).
fof(f37,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f43]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f57]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f71]) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(X0) != sk_c9
| multiply(X0,sk_c8) != sk_c9
| multiply(sk_c9,X1) != sk_c8
| multiply(X2,sk_c9) != X1
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| inverse(X4) != sk_c8
| multiply(X5,X6) != sk_c8
| inverse(X5) != X6
| multiply(X6,sk_c9) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(sk_c9,X1)
| multiply(X2,sk_c9) != X1
| sk_c9 != inverse(X2)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c8 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c8 != multiply(X6,sk_c9) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,plain,
! [X2,X3,X0,X6,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c8 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c8 != multiply(X6,sk_c9) ),
inference(equality_resolution,[],[f76]) ).
fof(f78,plain,
! [X2,X3,X0,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != multiply(inverse(X5),sk_c9) ),
inference(equality_resolution,[],[f77]) ).
fof(f80,definition,
( spl0_1
<=> ! [X5] :
( sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != multiply(inverse(X5),sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f81,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),sk_c9)
| sk_c8 != multiply(X5,inverse(X5)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f84,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl0_3
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,definition,
( spl0_4
<=> ! [X2] :
( sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f90,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f78,f86,f89,f86,f83,f80]) ).
fof(f93,definition,
( spl0_5
<=> sk_c8 = multiply(sk_c7,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f97,definition,
( spl0_6
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f99,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f102,definition,
( spl0_7
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f104,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f72,f97,f102]) ).
fof(f107,definition,
( spl0_8
<=> sk_c8 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f109,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f70,f97,f107]) ).
fof(f112,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f114,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f68,f97,f112]) ).
fof(f117,definition,
( spl0_10
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f119,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f66,f97,f117]) ).
fof(f122,definition,
( spl0_11
<=> sk_c9 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f124,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f127,definition,
( spl0_12
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f129,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f132,definition,
( spl0_13
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f58,f132,f102]) ).
fof(f137,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f56,f132,f107]) ).
fof(f138,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f54,f132,f112]) ).
fof(f139,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f132,f117]) ).
fof(f143,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f145,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f147,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f143,f102]) ).
fof(f148,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f143,f107]) ).
fof(f149,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f143,f112]) ).
fof(f150,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f143,f117]) ).
fof(f154,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f156,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f154,f93]) ).
fof(f158,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f154,f102]) ).
fof(f159,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f154,f107]) ).
fof(f160,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f154,f112]) ).
fof(f161,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f154,f117]) ).
fof(f162,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f154,f122]) ).
fof(f163,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f154,f127]) ).
fof(f165,definition,
( spl0_16
<=> inverse(sk_c1) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f167,plain,
( inverse(sk_c1) = sk_c9
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,plain,
( spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f18,f165,f93]) ).
fof(f169,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f16,f165,f102]) ).
fof(f170,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f14,f165,f107]) ).
fof(f171,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f12,f165,f112]) ).
fof(f172,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f10,f165,f117]) ).
fof(f173,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f8,f165,f122]) ).
fof(f174,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f6,f165,f127]) ).
fof(f176,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f84,f119]) ).
fof(f177,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f176]) ).
fof(f182,plain,
( ~ spl0_9
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f177,f117,f83,f112]) ).
fof(f183,plain,
( sk_c9 != sk_c9
| inverse(sk_c1) != sk_c8
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f84,f156]) ).
fof(f184,plain,
( inverse(sk_c1) != sk_c8
| ~ spl0_2
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f183]) ).
fof(f185,plain,
( sk_c9 != sk_c8
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f184,f167]) ).
fof(f187,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f167]) ).
fof(f189,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f3,f104]) ).
fof(f197,definition,
( spl0_18
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f198,plain,
( identity = sk_c9
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f203,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f207,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f119]) ).
fof(f212,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f203,f1]) ).
fof(f215,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f187]) ).
fof(f216,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f215,f1]) ).
fof(f219,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f189]) ).
fof(f220,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f219,f1]) ).
fof(f226,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f216,f156]) ).
fof(f244,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f220,f109]) ).
fof(f353,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_10 ),
inference(superposition,[],[f212,f119]) ).
fof(f360,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f212,f244]) ).
fof(f362,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f212,f134]) ).
fof(f368,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f362,f99]) ).
fof(f369,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f360,f3]) ).
fof(f378,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f368,f145]) ).
fof(f398,definition,
( spl0_22
<=> sk_c9 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f399,plain,
( sk_c9 = sk_c8
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f400,plain,
( sk_c9 != sk_c8
| spl0_22 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f412,plain,
( ~ spl0_22
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f185,f165,f154,f83,f398]) ).
fof(f413,plain,
( $false
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f378,f400]) ).
fof(f414,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f415,plain,
( spl0_22
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f378,f143,f132,f97,f398]) ).
fof(f416,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| sk_c8 != multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f81,f167]) ).
fof(f417,plain,
( sk_c8 != multiply(sk_c7,sk_c9)
| sk_c8 != multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f81,f104]) ).
fof(f423,plain,
( sk_c8 != multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f416,f226]) ).
fof(f427,plain,
( sk_c8 != multiply(sk_c7,sk_c9)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f417,f109]) ).
fof(f428,plain,
( ~ spl0_5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f427,f107,f102,f80,f93]) ).
fof(f431,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl0_15
| ~ spl0_22 ),
inference(superposition,[],[f156,f399]) ).
fof(f437,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f423,f399]) ).
fof(f449,plain,
( $false
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f431,f437]) ).
fof(f450,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f451,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c9 != multiply(sk_c9,multiply(X2,sk_c9)) )
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f90,f399]) ).
fof(f453,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(superposition,[],[f451,f99]) ).
fof(f454,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f453]) ).
fof(f456,plain,
( sk_c9 != multiply(sk_c9,sk_c3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f454,f134]) ).
fof(f459,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f456,f368]) ).
fof(f460,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f482,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f3,f114]) ).
fof(f496,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f87,f167]) ).
fof(f497,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f87,f129]) ).
fof(f502,plain,
( sk_c9 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f497]) ).
fof(f503,plain,
( sk_c9 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f496]) ).
fof(f509,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f502,f124]) ).
fof(f510,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f511,plain,
( $false
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f503,f156]) ).
fof(f512,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f610,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f353,f114]) ).
fof(f611,plain,
( multiply(sk_c5,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f207,f610]) ).
fof(f614,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f212,f610]) ).
fof(f616,plain,
( identity = sk_c9
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f614,f3]) ).
fof(f619,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f611,f226]) ).
fof(f624,plain,
( sk_c9 = sk_c8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f619,f119]) ).
fof(f629,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f624,f400]) ).
fof(f630,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f631,plain,
( spl0_18
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f616,f117,f112,f197]) ).
fof(f636,plain,
( sk_c9 = sk_c8
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(superposition,[],[f369,f198]) ).
fof(f638,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_18 ),
inference(superposition,[],[f1,f198]) ).
fof(f649,plain,
( spl0_22
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f636,f197,f107,f102,f398]) ).
fof(f651,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f482,f369]) ).
fof(f680,plain,
( sk_c9 != sk_c8
| sk_c9 != multiply(sk_c9,multiply(sk_c5,sk_c9))
| ~ spl0_4
| ~ spl0_9
| ~ spl0_22 ),
inference(superposition,[],[f451,f114]) ).
fof(f684,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c5,sk_c9))
| ~ spl0_4
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f680,f399]) ).
fof(f690,plain,
( sk_c9 = multiply(sk_c9,sk_c5)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f651,f399]) ).
fof(f733,plain,
( sk_c5 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(superposition,[],[f212,f690]) ).
fof(f735,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f733,f3]) ).
fof(f738,plain,
( sk_c8 = sk_c5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f735,f369]) ).
fof(f740,plain,
( sk_c9 = sk_c5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f738,f399]) ).
fof(f792,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f684,f638]) ).
fof(f799,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f792,f740]) ).
fof(f804,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f799,f638]) ).
fof(f805,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f804]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f91]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f105]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f110]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f115]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f120]) ).
cnf(s11,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s12,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s13,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s14,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s18,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s19,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s20,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s21,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s24,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s25,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s26,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s27,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s28,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f161]) ).
cnf(s29,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f162]) ).
cnf(s30,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f163]) ).
cnf(s31,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s32,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s33,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f170]) ).
cnf(s34,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f171]) ).
cnf(s35,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f172]) ).
cnf(s36,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f173]) ).
cnf(s37,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f174]) ).
cnf(s39,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f182]) ).
cnf(s49,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f412]) ).
cnf(s50,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_22 ),
inference(sat_conversion,[],[f414]) ).
cnf(s51,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_22 ),
inference(sat_conversion,[],[f415]) ).
cnf(s53,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f428]) ).
cnf(s55,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f450]) ).
cnf(s57,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_22 ),
inference(sat_conversion,[],[f460]) ).
cnf(s62,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f510]) ).
cnf(s63,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f512]) ).
cnf(s70,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| spl0_22 ),
inference(sat_conversion,[],[f630]) ).
cnf(s71,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f631]) ).
cnf(s75,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f649]) ).
cnf(s80,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_22 ),
inference(sat_conversion,[],[f805]) ).
cnf(s85,plain,
( spl0_22
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s75,s71,s18,s19,s20,s21,s51]) ).
cnf(s86,plain,
( ~ spl0_13
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s85,s57]) ).
cnf(s87,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(rat,[],[s75,s80]) ).
cnf(s88,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s87,s71,s11,s12,s13,s14]) ).
cnf(s89,plain,
( ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s87,s71,s4,s5,s6,s7,s86]) ).
cnf(s90,plain,
~ spl0_4,
inference(rat,[],[s89,s88]) ).
cnf(s91,plain,
( spl0_15
| ~ spl0_3 ),
inference(rat,[],[s62,s29,s30]) ).
cnf(s92,plain,
( ~ spl0_15
| ~ spl0_3 ),
inference(rat,[],[s62,s36,s37,s63]) ).
cnf(s93,plain,
~ spl0_3,
inference(rat,[],[s92,s91]) ).
cnf(s94,plain,
( spl0_9
| ~ spl0_22
| ~ spl0_2 ),
inference(rat,[],[s49,s27,s34]) ).
cnf(s95,plain,
( ~ spl0_22
| ~ spl0_2 ),
inference(rat,[],[s49,s28,s35,s39,s94]) ).
cnf(s96,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s39,s13,s14]) ).
cnf(s97,plain,
~ spl0_2,
inference(rat,[],[s39,s6,s7,s85,s96,s95]) ).
cnf(s98,plain,
spl0_1,
inference(rat,[],[s2,s93,s90,s97]) ).
cnf(s99,plain,
spl0_15,
inference(rat,[],[s53,s24,s25,s26,s98]) ).
cnf(s100,plain,
spl0_16,
inference(rat,[],[s53,s31,s32,s33,s98]) ).
cnf(s101,plain,
~ spl0_22,
inference(rat,[],[s55,s98,s99,s100]) ).
cnf(s102,plain,
spl0_10,
inference(rat,[],[s50,s7,s14,s21,s101]) ).
cnf(s103,plain,
~ spl0_9,
inference(rat,[],[s70,s99,s101,s100,s102]) ).
cnf(s104,plain,
spl0_14,
inference(rat,[],[s20,s103]) ).
cnf(s105,plain,
spl0_13,
inference(rat,[],[s13,s103]) ).
cnf(s106,plain,
spl0_6,
inference(rat,[],[s6,s103]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s50,s105,s101,s106,s104]) ).
fof(f815,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP225-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n007.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 09:36:40 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.98/1.35 % (1162236)Input is clausal, will run a generic CNF schedule.
% 2.98/1.35 % (1162345)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3257544539:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.98/1.35 % (1162346)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3439816563:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.98/1.35 % (1162342)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3179813686:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.98/1.35 % (1162341)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2642939670:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.98/1.35 % (1162344)lrs+10_1_sil=8000:sp=occurrence:random_seed=1375566465:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.98/1.35 % (1162345)Instruction limit reached!
% 2.98/1.35 % (1162345)------------------------------
% 2.98/1.35 % (1162345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.35 % (1162345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.35 % (1162345)CaDiCaL version: 2.1.3
% 2.98/1.35 % (1162345)Termination reason: Instruction limit
% 2.98/1.35 % (1162345)Termination phase: Saturation
% 2.98/1.35 % (1162345)Time elapsed: 0.037 s
% 2.98/1.35 % (1162345)Peak memory usage: 89 MB
% 2.98/1.35 % (1162345)Instructions burned: 115 (million)
% 2.98/1.35 % (1162343)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=678180929:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.98/1.35 % (1162346)First to succeed.
% 2.98/1.35 % (1162346)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1162236"
% 2.98/1.35 % (1162347)dis-21_1_sil=8000:lcm=predicate:random_seed=2788537474:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.98/1.35 % (1162347)Refutation not found, incomplete strategy
% 2.98/1.35 % (1162347)------------------------------
% 2.98/1.35 % (1162347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.35 % (1162347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.35 % (1162347)CaDiCaL version: 2.1.3
% 2.98/1.35 % (1162347)Termination reason: Refutation not found, incomplete strategy
% 2.98/1.35 % (1162347)Time elapsed: 0.002 s
% 2.98/1.35 % (1162347)Peak memory usage: 88 MB
% 2.98/1.35 % (1162347)Instructions burned: 2 (million)
% 2.98/1.35 % (1162344)Instruction limit reached!
% 2.98/1.35 % (1162344)------------------------------
% 2.98/1.35 % (1162344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.35 % (1162344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.35 % (1162344)CaDiCaL version: 2.1.3
% 2.98/1.35 % (1162344)Termination reason: Instruction limit
% 2.98/1.35 % (1162344)Termination phase: Saturation
% 2.98/1.35 % (1162344)Time elapsed: 0.056 s
% 2.98/1.35 % (1162344)Peak memory usage: 89 MB
% 2.98/1.35 % (1162344)Instructions burned: 109 (million)
% 2.98/1.35 % (1162358)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=454236804:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.98/1.35 % (1162358)Instruction limit reached!
% 2.98/1.35 % (1162358)------------------------------
% 2.98/1.35 % (1162358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.35 % (1162358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.35 % (1162358)CaDiCaL version: 2.1.3
% 2.98/1.35 % (1162358)Termination reason: Instruction limit
% 2.98/1.35 % (1162358)Termination phase: Saturation
% 2.98/1.35 % (1162358)Time elapsed: 0.039 s
% 2.98/1.35 % (1162358)Peak memory usage: 90 MB
% 2.98/1.35 % (1162358)Instructions burned: 143 (million)
% 2.98/1.35 % (1162369)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4089126413:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.98/1.35 % (1162347)------------------------------
% 2.98/1.35 % (1162347)------------------------------
% 2.98/1.35 % (1162346)Refutation found. Thanks to Tanya!
% 2.98/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.98/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.71/1.54 % (1162346)------------------------------
% 3.71/1.54 % (1162346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.54 % (1162346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.54 % (1162346)CaDiCaL version: 2.1.3
% 3.71/1.54 % (1162346)Termination reason: Refutation
% 3.71/1.54 % (1162346)Time elapsed: 0.019 s
% 3.71/1.54 % (1162346)Peak memory usage: 89 MB
% 3.71/1.54 % (1162346)Instructions burned: 29 (million)
% 3.71/1.54 % (1162346)------------------------------
% 3.71/1.54 % (1162346)------------------------------
% 3.71/1.54 % (1162236)Success in time 0.433 s
% 3.71/1.54 % Vampire exiting
%------------------------------------------------------------------------------