TSTP Solution File: GRP210-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP210-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:22:41 EDT 2023
% Result : Unsatisfiable 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 74
% Syntax : Number of formulae : 263 ( 16 unt; 0 def)
% Number of atoms : 843 ( 357 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1095 ( 515 ~; 554 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 23 con; 0-2 aty)
% Number of variables : 70 (; 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f856,plain,
$false,
inference(avatar_sat_refutation,[],[f128,f132,f133,f137,f141,f150,f155,f160,f170,f175,f180,f185,f190,f195,f200,f205,f206,f207,f208,f209,f212,f213,f214,f215,f216,f217,f218,f219,f221,f222,f224,f225,f227,f228,f230,f231,f233,f289,f406,f550,f587,f651,f678,f696,f736,f824,f851]) ).
fof(f851,plain,
( ~ spl17_5
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20
| ~ spl17_21 ),
inference(avatar_contradiction_clause,[],[f850]) ).
fof(f850,plain,
( $false
| ~ spl17_5
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20
| ~ spl17_21 ),
inference(trivial_inequality_removal,[],[f849]) ).
fof(f849,plain,
( sk_c10 != sk_c10
| ~ spl17_5
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20
| ~ spl17_21 ),
inference(forward_demodulation,[],[f846,f669]) ).
fof(f669,plain,
( sk_c10 = multiply(sk_c4,sk_c10)
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20
| ~ spl17_21 ),
inference(forward_demodulation,[],[f668,f655]) ).
fof(f655,plain,
( sk_c10 = sk_c9
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f199,f653]) ).
fof(f653,plain,
( sk_c10 = sF15
| ~ spl17_15
| ~ spl17_17 ),
inference(forward_demodulation,[],[f77,f621]) ).
fof(f621,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl17_15
| ~ spl17_17 ),
inference(superposition,[],[f561,f493]) ).
fof(f493,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| ~ spl17_17 ),
inference(backward_demodulation,[],[f71,f184]) ).
fof(f184,plain,
( sk_c8 = sF12
| ~ spl17_17 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl17_17
<=> sk_c8 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f71,plain,
multiply(sk_c7,sk_c10) = sF12,
introduced(function_definition,[]) ).
fof(f561,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl17_15 ),
inference(forward_demodulation,[],[f560,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',left_identity) ).
fof(f560,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl17_15 ),
inference(superposition,[],[f3,f515]) ).
fof(f515,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl17_15 ),
inference(superposition,[],[f2,f500]) ).
fof(f500,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl17_15 ),
inference(backward_demodulation,[],[f67,f174]) ).
fof(f174,plain,
( sk_c10 = sF10
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl17_15
<=> sk_c10 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f67,plain,
inverse(sk_c7) = sF10,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',associativity) ).
fof(f77,plain,
multiply(sk_c10,sk_c8) = sF15,
introduced(function_definition,[]) ).
fof(f199,plain,
( sk_c9 = sF15
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl17_20
<=> sk_c9 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f668,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl17_21 ),
inference(forward_demodulation,[],[f79,f204]) ).
fof(f204,plain,
( sk_c10 = sF16
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl17_21
<=> sk_c10 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
fof(f79,plain,
multiply(sk_c4,sk_c9) = sF16,
introduced(function_definition,[]) ).
fof(f846,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl17_5
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(trivial_inequality_removal,[],[f840]) ).
fof(f840,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl17_5
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(superposition,[],[f825,f495]) ).
fof(f495,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl17_16 ),
inference(backward_demodulation,[],[f69,f179]) ).
fof(f179,plain,
( sk_c10 = sF11
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl17_16
<=> sk_c10 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f69,plain,
inverse(sk_c4) = sF11,
introduced(function_definition,[]) ).
fof(f825,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c10) )
| ~ spl17_5
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f127,f655]) ).
fof(f127,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c9) )
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl17_5
<=> ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f824,plain,
( ~ spl17_7
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f823,plain,
( $false
| ~ spl17_7
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20 ),
inference(trivial_inequality_removal,[],[f822]) ).
fof(f822,plain,
( sk_c10 != sk_c10
| ~ spl17_7
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f810,f561]) ).
fof(f810,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c7,sk_c10))
| ~ spl17_7
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20 ),
inference(trivial_inequality_removal,[],[f808]) ).
fof(f808,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,multiply(sk_c7,sk_c10))
| ~ spl17_7
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20 ),
inference(superposition,[],[f749,f500]) ).
fof(f749,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c10 != multiply(sk_c10,multiply(X10,sk_c10)) )
| ~ spl17_7
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f136,f655]) ).
fof(f136,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) )
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl17_7
<=> ! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f736,plain,
( ~ spl17_8
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_18
| ~ spl17_19
| ~ spl17_20 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| ~ spl17_8
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_18
| ~ spl17_19
| ~ spl17_20 ),
inference(trivial_inequality_removal,[],[f734]) ).
fof(f734,plain,
( sk_c10 != sk_c10
| ~ spl17_8
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_18
| ~ spl17_19
| ~ spl17_20 ),
inference(forward_demodulation,[],[f733,f689]) ).
fof(f689,plain,
( sk_c10 = multiply(sk_c5,sk_c6)
| ~ spl17_15
| ~ spl17_17
| ~ spl17_18
| ~ spl17_20 ),
inference(forward_demodulation,[],[f73,f688]) ).
fof(f688,plain,
( sk_c10 = sF13
| ~ spl17_15
| ~ spl17_17
| ~ spl17_18
| ~ spl17_20 ),
inference(forward_demodulation,[],[f189,f655]) ).
fof(f189,plain,
( sk_c9 = sF13
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl17_18
<=> sk_c9 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f73,plain,
multiply(sk_c5,sk_c6) = sF13,
introduced(function_definition,[]) ).
fof(f733,plain,
( sk_c10 != multiply(sk_c5,sk_c6)
| ~ spl17_8
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_19
| ~ spl17_20 ),
inference(trivial_inequality_removal,[],[f732]) ).
fof(f732,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c5,sk_c6)
| ~ spl17_8
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_19
| ~ spl17_20 ),
inference(forward_demodulation,[],[f722,f656]) ).
fof(f656,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl17_15
| ~ spl17_17
| ~ spl17_19
| ~ spl17_20 ),
inference(backward_demodulation,[],[f654,f655]) ).
fof(f654,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| ~ spl17_19 ),
inference(backward_demodulation,[],[f75,f194]) ).
fof(f194,plain,
( sk_c9 = sF14
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl17_19
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f75,plain,
multiply(sk_c6,sk_c10) = sF14,
introduced(function_definition,[]) ).
fof(f722,plain,
( sk_c10 != multiply(sk_c6,sk_c10)
| sk_c10 != multiply(sk_c5,sk_c6)
| ~ spl17_8
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20 ),
inference(superposition,[],[f708,f429]) ).
fof(f429,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl17_10 ),
inference(backward_demodulation,[],[f56,f149]) ).
fof(f149,plain,
( sk_c6 = sF4
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl17_10
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f56,plain,
inverse(sk_c5) = sF4,
introduced(function_definition,[]) ).
fof(f708,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c10)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl17_8
| ~ spl17_15
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f140,f655]) ).
fof(f140,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl17_8
<=> ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f696,plain,
( ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_18
| ~ spl17_20
| spl17_26 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f695,plain,
( $false
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_18
| ~ spl17_20
| spl17_26 ),
inference(trivial_inequality_removal,[],[f694]) ).
fof(f694,plain,
( sk_c10 != sk_c10
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_18
| ~ spl17_20
| spl17_26 ),
inference(forward_demodulation,[],[f693,f655]) ).
fof(f693,plain,
( sk_c10 != sk_c9
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_18
| ~ spl17_20
| spl17_26 ),
inference(forward_demodulation,[],[f692,f689]) ).
fof(f692,plain,
( sk_c9 != multiply(sk_c5,sk_c6)
| ~ spl17_10
| spl17_26 ),
inference(forward_demodulation,[],[f284,f149]) ).
fof(f284,plain,
( sk_c9 != multiply(sk_c5,sF4)
| spl17_26 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl17_26
<=> sk_c9 = multiply(sk_c5,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).
fof(f678,plain,
( ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_19
| ~ spl17_20
| spl17_27 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_19
| ~ spl17_20
| spl17_27 ),
inference(trivial_inequality_removal,[],[f676]) ).
fof(f676,plain,
( sk_c10 != sk_c10
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_19
| ~ spl17_20
| spl17_27 ),
inference(forward_demodulation,[],[f675,f655]) ).
fof(f675,plain,
( sk_c10 != sk_c9
| ~ spl17_10
| ~ spl17_15
| ~ spl17_17
| ~ spl17_19
| ~ spl17_20
| spl17_27 ),
inference(forward_demodulation,[],[f674,f656]) ).
fof(f674,plain,
( sk_c9 != multiply(sk_c6,sk_c10)
| ~ spl17_10
| spl17_27 ),
inference(forward_demodulation,[],[f288,f149]) ).
fof(f288,plain,
( sk_c9 != multiply(sF4,sk_c10)
| spl17_27 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl17_27
<=> sk_c9 = multiply(sF4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f651,plain,
( ~ spl17_5
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| ~ spl17_5
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f649]) ).
fof(f649,plain,
( sk_c10 != sk_c10
| ~ spl17_5
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(forward_demodulation,[],[f635,f322]) ).
fof(f322,plain,
( sk_c10 = multiply(sk_c3,sk_c10)
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(backward_demodulation,[],[f236,f318]) ).
fof(f318,plain,
( sk_c10 = sk_c9
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(forward_demodulation,[],[f317,f234]) ).
fof(f234,plain,
( multiply(sk_c1,sk_c2) = sk_c10
| ~ spl17_14 ),
inference(backward_demodulation,[],[f65,f169]) ).
fof(f169,plain,
( sk_c10 = sF9
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl17_14
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f65,plain,
multiply(sk_c1,sk_c2) = sF9,
introduced(function_definition,[]) ).
fof(f317,plain,
( multiply(sk_c1,sk_c2) = sk_c9
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(forward_demodulation,[],[f313,f248]) ).
fof(f248,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl17_11
| ~ spl17_12 ),
inference(superposition,[],[f245,f236]) ).
fof(f245,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl17_11 ),
inference(forward_demodulation,[],[f244,f1]) ).
fof(f244,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl17_11 ),
inference(superposition,[],[f3,f239]) ).
fof(f239,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl17_11 ),
inference(superposition,[],[f2,f237]) ).
fof(f237,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl17_11 ),
inference(backward_demodulation,[],[f59,f154]) ).
fof(f154,plain,
( sk_c10 = sF6
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl17_11
<=> sk_c10 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f59,plain,
inverse(sk_c3) = sF6,
introduced(function_definition,[]) ).
fof(f313,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c10,sk_c10)
| ~ spl17_9
| ~ spl17_14 ),
inference(superposition,[],[f241,f252]) ).
fof(f252,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl17_9
| ~ spl17_14 ),
inference(superposition,[],[f247,f234]) ).
fof(f247,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl17_9 ),
inference(forward_demodulation,[],[f246,f1]) ).
fof(f246,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl17_9 ),
inference(superposition,[],[f3,f240]) ).
fof(f240,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl17_9 ),
inference(superposition,[],[f2,f238]) ).
fof(f238,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl17_9 ),
inference(backward_demodulation,[],[f57,f145]) ).
fof(f145,plain,
( sk_c2 = sF5
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl17_9
<=> sk_c2 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f57,plain,
inverse(sk_c1) = sF5,
introduced(function_definition,[]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c10,X0)
| ~ spl17_14 ),
inference(superposition,[],[f3,f234]) ).
fof(f236,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl17_12 ),
inference(backward_demodulation,[],[f61,f159]) ).
fof(f159,plain,
( sk_c10 = sF7
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl17_12
<=> sk_c10 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f61,plain,
multiply(sk_c3,sk_c9) = sF7,
introduced(function_definition,[]) ).
fof(f635,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl17_5
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f634]) ).
fof(f634,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl17_5
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(superposition,[],[f588,f237]) ).
fof(f588,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c10) )
| ~ spl17_5
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(forward_demodulation,[],[f127,f318]) ).
fof(f587,plain,
( ~ spl17_8
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| ~ spl17_8
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f585]) ).
fof(f585,plain,
( sk_c10 != sk_c10
| ~ spl17_8
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(forward_demodulation,[],[f584,f322]) ).
fof(f584,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl17_8
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f583]) ).
fof(f583,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl17_8
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(forward_demodulation,[],[f567,f325]) ).
fof(f325,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(backward_demodulation,[],[f248,f318]) ).
fof(f567,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl17_8
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(superposition,[],[f551,f237]) ).
fof(f551,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c10)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl17_8
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(forward_demodulation,[],[f140,f318]) ).
fof(f550,plain,
( ~ spl17_7
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f549,plain,
( $false
| ~ spl17_7
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f548]) ).
fof(f548,plain,
( sk_c10 != sk_c10
| ~ spl17_7
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(forward_demodulation,[],[f528,f245]) ).
fof(f528,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl17_7
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f527]) ).
fof(f527,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl17_7
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(superposition,[],[f481,f237]) ).
fof(f481,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c10 != multiply(sk_c10,multiply(X10,sk_c10)) )
| ~ spl17_7
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(forward_demodulation,[],[f136,f318]) ).
fof(f406,plain,
( ~ spl17_6
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl17_6
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(global_subsumption,[],[f331,f322]) ).
fof(f331,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl17_6
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(backward_demodulation,[],[f300,f318]) ).
fof(f300,plain,
( sk_c9 != multiply(sk_c3,sk_c10)
| ~ spl17_6
| ~ spl17_11
| ~ spl17_12 ),
inference(trivial_inequality_removal,[],[f299]) ).
fof(f299,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c3,sk_c10)
| ~ spl17_6
| ~ spl17_11
| ~ spl17_12 ),
inference(forward_demodulation,[],[f259,f248]) ).
fof(f259,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c9 != multiply(sk_c3,sk_c10)
| ~ spl17_6
| ~ spl17_11 ),
inference(superposition,[],[f131,f237]) ).
fof(f131,plain,
( ! [X7] :
( sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X7,inverse(X7)) )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl17_6
<=> ! [X7] :
( sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X7,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f289,plain,
( ~ spl17_26
| ~ spl17_27
| ~ spl17_6 ),
inference(avatar_split_clause,[],[f257,f130,f286,f282]) ).
fof(f257,plain,
( sk_c9 != multiply(sF4,sk_c10)
| sk_c9 != multiply(sk_c5,sF4)
| ~ spl17_6 ),
inference(superposition,[],[f131,f56]) ).
fof(f233,plain,
( spl17_14
| spl17_21 ),
inference(avatar_split_clause,[],[f108,f202,f167]) ).
fof(f108,plain,
( sk_c10 = sF16
| sk_c10 = sF9 ),
inference(definition_folding,[],[f5,f65,f79]) ).
fof(f5,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_2) ).
fof(f231,plain,
( spl17_12
| spl17_21 ),
inference(avatar_split_clause,[],[f106,f202,f157]) ).
fof(f106,plain,
( sk_c10 = sF16
| sk_c10 = sF7 ),
inference(definition_folding,[],[f37,f61,f79]) ).
fof(f37,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_34) ).
fof(f230,plain,
( spl17_14
| spl17_20 ),
inference(avatar_split_clause,[],[f105,f197,f167]) ).
fof(f105,plain,
( sk_c9 = sF15
| sk_c10 = sF9 ),
inference(definition_folding,[],[f9,f65,f77]) ).
fof(f9,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_6) ).
fof(f228,plain,
( spl17_12
| spl17_20 ),
inference(avatar_split_clause,[],[f103,f197,f157]) ).
fof(f103,plain,
( sk_c9 = sF15
| sk_c10 = sF7 ),
inference(definition_folding,[],[f41,f61,f77]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_38) ).
fof(f227,plain,
( spl17_14
| spl17_19 ),
inference(avatar_split_clause,[],[f102,f192,f167]) ).
fof(f102,plain,
( sk_c9 = sF14
| sk_c10 = sF9 ),
inference(definition_folding,[],[f8,f65,f75]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c6,sk_c10)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_5) ).
fof(f225,plain,
( spl17_12
| spl17_19 ),
inference(avatar_split_clause,[],[f100,f192,f157]) ).
fof(f100,plain,
( sk_c9 = sF14
| sk_c10 = sF7 ),
inference(definition_folding,[],[f40,f61,f75]) ).
fof(f40,axiom,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_37) ).
fof(f224,plain,
( spl17_14
| spl17_18 ),
inference(avatar_split_clause,[],[f99,f187,f167]) ).
fof(f99,plain,
( sk_c9 = sF13
| sk_c10 = sF9 ),
inference(definition_folding,[],[f6,f65,f73]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c5,sk_c6)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_3) ).
fof(f222,plain,
( spl17_12
| spl17_18 ),
inference(avatar_split_clause,[],[f97,f187,f157]) ).
fof(f97,plain,
( sk_c9 = sF13
| sk_c10 = sF7 ),
inference(definition_folding,[],[f38,f61,f73]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c5,sk_c6)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_35) ).
fof(f221,plain,
( spl17_14
| spl17_17 ),
inference(avatar_split_clause,[],[f96,f182,f167]) ).
fof(f96,plain,
( sk_c8 = sF12
| sk_c10 = sF9 ),
inference(definition_folding,[],[f10,f65,f71]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_7) ).
fof(f219,plain,
( spl17_12
| spl17_17 ),
inference(avatar_split_clause,[],[f94,f182,f157]) ).
fof(f94,plain,
( sk_c8 = sF12
| sk_c10 = sF7 ),
inference(definition_folding,[],[f42,f61,f71]) ).
fof(f42,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_39) ).
fof(f218,plain,
( spl17_21
| spl17_11 ),
inference(avatar_split_clause,[],[f93,f152,f202]) ).
fof(f93,plain,
( sk_c10 = sF6
| sk_c10 = sF16 ),
inference(definition_folding,[],[f29,f79,f59]) ).
fof(f29,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_26) ).
fof(f217,plain,
( spl17_20
| spl17_11 ),
inference(avatar_split_clause,[],[f92,f152,f197]) ).
fof(f92,plain,
( sk_c10 = sF6
| sk_c9 = sF15 ),
inference(definition_folding,[],[f33,f77,f59]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_30) ).
fof(f216,plain,
( spl17_19
| spl17_11 ),
inference(avatar_split_clause,[],[f91,f152,f192]) ).
fof(f91,plain,
( sk_c10 = sF6
| sk_c9 = sF14 ),
inference(definition_folding,[],[f32,f75,f59]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_29) ).
fof(f215,plain,
( spl17_18
| spl17_11 ),
inference(avatar_split_clause,[],[f90,f152,f187]) ).
fof(f90,plain,
( sk_c10 = sF6
| sk_c9 = sF13 ),
inference(definition_folding,[],[f30,f73,f59]) ).
fof(f30,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_27) ).
fof(f214,plain,
( spl17_17
| spl17_11 ),
inference(avatar_split_clause,[],[f89,f152,f182]) ).
fof(f89,plain,
( sk_c10 = sF6
| sk_c8 = sF12 ),
inference(definition_folding,[],[f34,f71,f59]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_31) ).
fof(f213,plain,
( spl17_14
| spl17_16 ),
inference(avatar_split_clause,[],[f88,f177,f167]) ).
fof(f88,plain,
( sk_c10 = sF11
| sk_c10 = sF9 ),
inference(definition_folding,[],[f4,f65,f69]) ).
fof(f4,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_1) ).
fof(f212,plain,
( spl17_14
| spl17_15 ),
inference(avatar_split_clause,[],[f87,f172,f167]) ).
fof(f87,plain,
( sk_c10 = sF10
| sk_c10 = sF9 ),
inference(definition_folding,[],[f11,f65,f67]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c7)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_8) ).
fof(f209,plain,
( spl17_12
| spl17_15 ),
inference(avatar_split_clause,[],[f84,f172,f157]) ).
fof(f84,plain,
( sk_c10 = sF10
| sk_c10 = sF7 ),
inference(definition_folding,[],[f43,f61,f67]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_40) ).
fof(f208,plain,
( spl17_12
| spl17_16 ),
inference(avatar_split_clause,[],[f83,f177,f157]) ).
fof(f83,plain,
( sk_c10 = sF11
| sk_c10 = sF7 ),
inference(definition_folding,[],[f36,f61,f69]) ).
fof(f36,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_33) ).
fof(f207,plain,
( spl17_11
| spl17_15 ),
inference(avatar_split_clause,[],[f82,f172,f152]) ).
fof(f82,plain,
( sk_c10 = sF10
| sk_c10 = sF6 ),
inference(definition_folding,[],[f35,f59,f67]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_32) ).
fof(f206,plain,
( spl17_11
| spl17_16 ),
inference(avatar_split_clause,[],[f81,f177,f152]) ).
fof(f81,plain,
( sk_c10 = sF11
| sk_c10 = sF6 ),
inference(definition_folding,[],[f28,f59,f69]) ).
fof(f28,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_25) ).
fof(f205,plain,
( spl17_21
| spl17_9 ),
inference(avatar_split_clause,[],[f80,f143,f202]) ).
fof(f80,plain,
( sk_c2 = sF5
| sk_c10 = sF16 ),
inference(definition_folding,[],[f13,f79,f57]) ).
fof(f13,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_10) ).
fof(f200,plain,
( spl17_20
| spl17_9 ),
inference(avatar_split_clause,[],[f78,f143,f197]) ).
fof(f78,plain,
( sk_c2 = sF5
| sk_c9 = sF15 ),
inference(definition_folding,[],[f17,f77,f57]) ).
fof(f17,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_14) ).
fof(f195,plain,
( spl17_19
| spl17_9 ),
inference(avatar_split_clause,[],[f76,f143,f192]) ).
fof(f76,plain,
( sk_c2 = sF5
| sk_c9 = sF14 ),
inference(definition_folding,[],[f16,f75,f57]) ).
fof(f16,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_13) ).
fof(f190,plain,
( spl17_18
| spl17_9 ),
inference(avatar_split_clause,[],[f74,f143,f187]) ).
fof(f74,plain,
( sk_c2 = sF5
| sk_c9 = sF13 ),
inference(definition_folding,[],[f14,f73,f57]) ).
fof(f14,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_11) ).
fof(f185,plain,
( spl17_17
| spl17_9 ),
inference(avatar_split_clause,[],[f72,f143,f182]) ).
fof(f72,plain,
( sk_c2 = sF5
| sk_c8 = sF12 ),
inference(definition_folding,[],[f18,f71,f57]) ).
fof(f18,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_15) ).
fof(f180,plain,
( spl17_16
| spl17_9 ),
inference(avatar_split_clause,[],[f70,f143,f177]) ).
fof(f70,plain,
( sk_c2 = sF5
| sk_c10 = sF11 ),
inference(definition_folding,[],[f12,f69,f57]) ).
fof(f12,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_9) ).
fof(f175,plain,
( spl17_15
| spl17_9 ),
inference(avatar_split_clause,[],[f68,f143,f172]) ).
fof(f68,plain,
( sk_c2 = sF5
| sk_c10 = sF10 ),
inference(definition_folding,[],[f19,f67,f57]) ).
fof(f19,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_16) ).
fof(f170,plain,
( spl17_14
| spl17_10 ),
inference(avatar_split_clause,[],[f66,f147,f167]) ).
fof(f66,plain,
( sk_c6 = sF4
| sk_c10 = sF9 ),
inference(definition_folding,[],[f7,f65,f56]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_4) ).
fof(f160,plain,
( spl17_12
| spl17_10 ),
inference(avatar_split_clause,[],[f62,f147,f157]) ).
fof(f62,plain,
( sk_c6 = sF4
| sk_c10 = sF7 ),
inference(definition_folding,[],[f39,f61,f56]) ).
fof(f39,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_36) ).
fof(f155,plain,
( spl17_11
| spl17_10 ),
inference(avatar_split_clause,[],[f60,f147,f152]) ).
fof(f60,plain,
( sk_c6 = sF4
| sk_c10 = sF6 ),
inference(definition_folding,[],[f31,f59,f56]) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_28) ).
fof(f150,plain,
( spl17_9
| spl17_10 ),
inference(avatar_split_clause,[],[f58,f147,f143]) ).
fof(f58,plain,
( sk_c6 = sF4
| sk_c2 = sF5 ),
inference(definition_folding,[],[f15,f57,f56]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_12) ).
fof(f141,plain,
( spl17_4
| spl17_8 ),
inference(avatar_split_clause,[],[f48,f139,f122]) ).
fof(f122,plain,
( spl17_4
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f48,plain,
! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3))
| sP0 ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f137,plain,
( spl17_3
| spl17_7 ),
inference(avatar_split_clause,[],[f50,f135,f118]) ).
fof(f118,plain,
( spl17_3
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f50,plain,
! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sP1 ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f133,plain,
( spl17_2
| spl17_5 ),
inference(avatar_split_clause,[],[f52,f126,f114]) ).
fof(f114,plain,
( spl17_2
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f52,plain,
! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c9)
| sP2 ),
inference(cnf_transformation,[],[f52_D]) ).
fof(f52_D,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c9) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f132,plain,
( spl17_1
| spl17_6 ),
inference(avatar_split_clause,[],[f54,f130,f110]) ).
fof(f110,plain,
( spl17_1
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f54,plain,
! [X7] :
( sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X7,inverse(X7))
| sP3 ),
inference(cnf_transformation,[],[f54_D]) ).
fof(f54_D,plain,
( ! [X7] :
( sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X7,inverse(X7)) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f128,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| spl17_5 ),
inference(avatar_split_clause,[],[f55,f126,f122,f118,f114,f110]) ).
fof(f55,plain,
! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c9)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f53,f54_D]) ).
fof(f53,plain,
! [X7,X5] :
( sk_c10 != inverse(X5)
| sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X5,sk_c9)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f51,f52_D]) ).
fof(f51,plain,
! [X6,X7,X5] :
( sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X5,sk_c9)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f49,f50_D]) ).
fof(f49,plain,
! [X10,X6,X7,X5] :
( sk_c10 != inverse(X10)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c9 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X5,sk_c9)
| ~ sP0 ),
inference(general_splitting,[],[f47,f48_D]) ).
fof(f47,plain,
! [X3,X10,X6,X7,X5] :
( sk_c10 != inverse(X10)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c9 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X3,X10,X6,X9,X7,X5] :
( sk_c10 != inverse(X10)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(sk_c10,X9)
| sk_c9 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3))
| multiply(X10,sk_c10) != X9 ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X10)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| inverse(X3) != X4
| sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(sk_c10,X9)
| sk_c9 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != multiply(X3,X4)
| multiply(X10,sk_c10) != X9 ),
inference(equality_resolution,[],[f44]) ).
fof(f44,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X10)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| inverse(X7) != X8
| inverse(X3) != X4
| sk_c9 != multiply(X8,sk_c10)
| sk_c9 != multiply(sk_c10,X9)
| sk_c9 != multiply(X7,X8)
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != multiply(X3,X4)
| multiply(X10,sk_c10) != X9 ),
file('/export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994',prove_this_41) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP210-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 01:07:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994
% 0.21/0.36 % (20102)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (20104)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.21/0.42 % (20107)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.21/0.42 % (20106)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.21/0.42 % (20105)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.21/0.42 % (20109)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.21/0.42 % (20108)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.42 % (20103)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.21/0.44 % (20106)First to succeed.
% 0.21/0.45 % (20106)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.45 % (20106)------------------------------
% 0.21/0.45 % (20106)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 % (20106)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (20106)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (20106)Memory used [KB]: 10618
% 0.21/0.45 % (20106)Time elapsed: 0.028 s
% 0.21/0.45 % (20106)------------------------------
% 0.21/0.45 % (20106)------------------------------
% 0.21/0.45 % (20102)Success in time 0.091 s
% 0.21/0.45 20103 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994
% 0.21/0.45 % (20103)------------------------------
% 0.21/0.45 % (20103)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 20104 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994
% 0.21/0.45 % (20104)------------------------------
% 0.21/0.45 % (20104)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 20105 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.f70W74SOLV/Vampire---4.8_19994
% 0.21/0.45 % (20105)------------------------------
% 0.21/0.45 % (20105)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 % (20103)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (20104)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (20105)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (20103)Termination reason: Unknown
% 0.21/0.45 % (20104)Termination reason: Unknown
% 0.21/0.45 % (20105)Termination reason: Unknown
% 0.21/0.45 % (20103)Termination phase: Saturation
% 0.21/0.45 % (20104)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (20105)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (20103)Memory used [KB]: 5500
% 0.21/0.45 % (20104)Memory used [KB]: 895
% 0.21/0.45 % (20105)Memory used [KB]: 1023
% 0.21/0.45 % (20103)Time elapsed: 0.033 s
% 0.21/0.45 % (20104)Time elapsed: 0.034 s
% 0.21/0.45 % (20105)Time elapsed: 0.034 s
% 0.21/0.45 % (20103)------------------------------
% 0.21/0.45 % (20103)------------------------------
% 0.21/0.45 % (20104)------------------------------
% 0.21/0.45 % (20104)------------------------------
% 0.21/0.45 % (20105)------------------------------
% 0.21/0.45 % (20105)------------------------------
% 0.21/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------